Conservation property of symmetric jump processes
Conservation property of symmetric jump processes
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DOI：
10.1214/09-aihp368
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发表时间：
2011-08
影响因子：
1.5
通讯作者：
J. Masamune;T. Uemura
中科院分区：
文献类型：
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作者：
J. Masamune;T. Uemura
关于各种马氏过程的守恒性，迄今已有许多文献。特别是，对称扩散过程的保守性被称为给出相对于过程的“内在度量”的体积增长条件。另一方面，很少有论文的保守性的情况下，跳过程推导。在这次演讲中，我们将专注于对称跳跃过程，并给出跳跃（Levy）核的一个条件，以导出守恒性质。
Many papers concerning the conservation property for various Markov processes are known so far. In particular, the conservativeness for symmetric diffusion processes is known as giving the volume growth conditions with respect to the ‘intrinsic metric’ relative to the processes. On the other hand, there are few papers for which the conservativeness property is derived in the case of jump processes. In this talk, we will focus on symmetric jump processes and give a condition on the jump (Levy) kernel to derive the conservation property.